In 'Little White Lies,' Antoinette fights for the governor's attention by asserting her role as lieutenant governor and challenging the governor's dismissive attitude towards her. She insists on selecting her own staff and pushing for meaningful contributions to the administration, despite being initially marginalized.

The family conflict arises when Lola's Olympic aspirations do not align with reality, leading to a division over whether to inform her about the disparity. This creates tension as family members debate the best approach to handle Lola's expectations.

The episode portrays Antoinette as a determined and assertive character who is not willing to be relegated to a mere figurehead. Despite facing obstacles, she continues to push for her rights and responsibilities within the administration.

Basil is mentioned in the context of Antoinette's staff selection. However, specific details about Basil's role in 'Little White Lies' are not provided in the available information.

The episode explores themes of honesty and deception through the title 'Little White Lies,' which suggests that characters may be withholding truths or telling small lies. This is evident in the family's dilemma about Lola's Olympic dreams and Antoinette's interactions with the governor.